Square root of 20
The square root of 20 is 4.472136 (rounded to 6 decimal places). In simplest radical form it is 2ā5.
Square root of 20
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 20 is the number that multiplied by itself gives 20.
- 2
20 is between the perfect squares 4Ā² = 16 and 5Ā² = 25, so its square root is between 4 and 5.
- 3
Pull out the biggest square factor: 20 = 4 Ć 5, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{20} = 2\sqrt{5} \approx 4.472136 \]
\[ \sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5} \]
\[ \sqrt{20} \approx 4.472136 \]Squares around 20
| Number | Squared |
|---|---|
| 3 | 9 |
| 4 | 16 |
| 5 | 25 |
| 6 | 36 |
Questions
What is the square root of 20?
The square root of 20 is 4.472136 (rounded to 6 decimal places). In simplest radical form it is 2ā5.
Is 20 a perfect square?
No. It lies between 4Ā² = 16 and 5Ā² = 25.
What is 20 squared?
20 Ć 20 = 400.
What is the square root of 20 rounded to 2 decimals?
4.47.